201001102100 has 36 divisors (see below), whose sum is σ = 436244841564. Its totient is φ = 80387086080.

The previous prime is 201001102091. The next prime is 201001102109. The reversal of 201001102100 is 1201100102.

201001102100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201001102091) and next prime (201001102109).

It can be written as a sum of positive squares in 6 ways, for example, as 4550042116 + 196451059984 = 67454^2 + 443228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 449432 + ... + 777168.

Almost surely, 2^201001102100 is an apocalyptic number.

201001102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001102100 is an abundant number, since it is smaller than the sum of its proper divisors (235243739464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201001102100 is a wasteful number, since it uses less digits than its factorization.

201001102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333884 (or 333877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201001102100 its reverse (1201100102), we get a palindrome (202202202202).

The spelling of 201001102100 in words is "two hundred one billion, one million, one hundred two thousand, one hundred".